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Simplifying 7m + 84 = 100 + 5m Reorder the terms: 84 + 7m = 100 + 5m Solving 84 + 7m = 100 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 84 + 7m + -5m = 100 + 5m + -5m Combine like terms: 7m + -5m = 2m 84 + 2m = 100 + 5m + -5m Combine like terms: 5m + -5m = 0 84 + 2m = 100 + 0 84 + 2m = 100 Add '-84' to each side of the equation. 84 + -84 + 2m = 100 + -84 Combine like terms: 84 + -84 = 0 0 + 2m = 100 + -84 2m = 100 + -84 Combine like terms: 100 + -84 = 16 2m = 16 Divide each side by '2'. m = 8 Simplifying m = 8
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